Abstract

Luttinger-liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter $K$. We suggest a setup to study Luttinger-liquid behavior in quantum wires which allows us to determine $K$ from two independent measurements: transport through a quantum dot embedded in the wire and the charge on the dot. Consistency of the two $K$'s for a single probe would provide strong experimental evidence for the Luttinger-liquid paradigm.

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